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Finding the Third Proportional to 98,666 and 213,937

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Solution

The third proportional to 98,666 and 213,937 is: 463,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,666 : 213,937 = 213,937 : x
  2. Step 2: Convert to fraction form
    98,666/213,937 = 213,937/x
  3. Step 3: Cross multiply
    98,666x = 213,937 × 213,937
  4. Step 4: Simplify right side
    98,666x = 45,769,039,969
  5. Step 5: Solve for x
    x = 45,769,039,969/98,666
  6. Step 6: Final answer
    x = 463,878.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.